Market Risk Analysis Volume III Pricing, Hedging and Trading Financial Instruments Carol Alexander il il iii ffi il il ii ffi Market Risk Analysis Volume III Pricing, Hedging and Trading Financial Instruments il il i ffi il il ii ffi Market Risk Analysis Volume III Pricing, Hedging and Trading Financial Instruments Carol Alexander il il iii ffi Publishedin2008by JohnWiley&SonsLtd,TheAtrium,SouthernGate,Chichester, WestSussexPO198SQ,England Telephone (cid:2)+44(cid:3)1243779777 Email(forordersandcustomerserviceenquiries):[email protected] VisitourHomePageonwww.wiley.com Copyright©2008CarolAlexander AllRightsReserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystemortransmitted inanyformorbyanymeans,electronic,mechanical,photocopying,recording,scanningorotherwise,except underthetermsoftheCopyright,DesignsandPatentsAct1988orunderthetermsofalicenceissuedbythe CopyrightLicensingAgencyLtd,90TottenhamCourtRoad,LondonW1T4LP,UK,withoutthepermission inwritingofthePublisher.RequeststothePublishershouldbeaddressedtothePermissionsDepartment, JohnWiley&SonsLtd,TheAtrium,SouthernGate,Chichester,WestSussexPO198SQ,England, [email protected],orfaxedto(+44)1243770620. Designationsusedbycompaniestodistinguishtheirproductsareoftenclaimedastrademarks.Allbrandnames andproductnamesusedinthisbookaretradenames,servicemarks,trademarksorregisteredtrademarksoftheir respectiveowners.ThePublisherisnotassociatedwithanyproductorvendormentionedinthisbook. Thispublicationisdesignedtoprovideaccurateandauthoritativeinformationinregardtothesubjectmatter covered.ItissoldontheunderstandingthatthePublisherisnotengagedinrenderingprofessionalservices. Ifprofessionaladviceorotherexpertassistanceisrequired,theservicesofacompetentprofessionalshouldbe sought. CarolAlexanderhasassertedherrightundertheCopyright,DesignsandPatentsAct1988,tobeidentifiedasthe authorofthiswork. OtherWileyEditorialOffices JohnWiley&SonsInc.,111RiverStreet,Hoboken,NJ07030,USA Jossey-Bass,989MarketStreet,SanFrancisco,CA94103-1741,USA Wiley-VCHVerlagGmbH,Boschstr.12,D-69469Weinheim,Germany JohnWiley&SonsAustraliaLtd,42McDougallStreet,Milton,Queensland4064,Australia JohnWiley&Sons(Asia)PteLtd,2ClementiLoop#02-01,JinXingDistripark,Singapore129809 JohnWiley&SonsCanadaLtd,6045FreemontBlvd,Mississauga,Ontario,CanadaL5R4J3 Wileyalsopublishesitsbooksinavarietyofelectronicformats.Somecontentthatappearsinprintmay notbeavailableinelectronicbooks. BritishLibraryCataloguinginPublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary ISBN978-0-470-99789-5(HB) Typesetin10/12ptTimesbyIntegraSoftwareServicesPvt.Ltd,Pondicherry,India PrintedandboundinGreatBritainbyAntonyRoweLtd,Chippenham,Wiltshire Thisbookisprintedonacid-freepaperresponsiblymanufacturedfromsustainableforestry inwhichatleasttwotreesareplantedforeachoneusedforpaperproduction. il il i ffi To Jacques Pézier il il ffi il il i ffi Contents List of Figures xiii List of Tables xvii List of Examples xix Foreword xxi Preface to Volume III xxv III.1 Bonds and Swaps 1 III.1.1 Introduction 1 III.1.2 Interest Rates 2 III.1.2.1 Continuously Compounded Spot and Forward Rates 3 III.1.2.2 Discretely Compounded Spot Rates 4 III.1.2.3 Translation between Discrete Rates and Continuous Rates 6 III.1.2.4 Spot and Forward Rates with Discrete Compounding 6 III.1.2.5 LIBOR 8 III.1.3 Categorization of Bonds 8 III.1.3.1 Categorization by Issuer 9 III.1.3.2 Categorization by Coupon and Maturity 10 III.1.4 Characteristics of Bonds and Interest Rates 10 III.1.4.1 Present Value, Price and Yield 11 III.1.4.2 Relationship between Price and Yield 13 III.1.4.3 Yield Curves 14 III.1.4.4 Behaviour of Market Interest Rates 17 III.1.4.5 Characteristics of Spot and Forward Term Structures 19 III.1.5 Duration and Convexity 20 III.1.5.1 Macaulay Duration 21 III.1.5.2 Modified Duration 23 III.1.5.3 Convexity 24 III.1.5.4 Duration and Convexity of a Bond Portfolio 24 III.1.5.5 Duration–Convexity Approximations to Bond Price Change 25 III.1.5.6 Immunizing Bond Portfolios 27 il il ii f
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